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Finding the Fourth Proportional to 7,288.50, 10,932.60 and 2,362.20

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Solution

The fourth proportional to 7,288.50, 10,932.60 and 2,362.20 is: 3,543.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,288.50 : 10,932.60 = 2,362.20 : x
  2. Step 2: Convert to fraction form
    7,288.50/10,932.60 = 2,362.20/x
  3. Step 3: Cross multiply
    7,288.50x = 10,932.60 × 2,362.20
  4. Step 4: Simplify right side
    7,288.50x = 25,824,987.72
  5. Step 5: Solve for x
    x = 25,824,987.72/7,288.50
  6. Step 6: Final answer
    x = 3,543.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.